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Finding the Fourth Proportional to 511,877.60, 768,448.20 and 322,337.60

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Solution

The fourth proportional to 511,877.60, 768,448.20 and 322,337.60 is: 483,904.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,877.60 : 768,448.20 = 322,337.60 : x
  2. Step 2: Convert to fraction form
    511,877.60/768,448.20 = 322,337.60/x
  3. Step 3: Cross multiply
    511,877.60x = 768,448.20 × 322,337.60
  4. Step 4: Simplify right side
    511,877.60x = 247,699,748,512.32
  5. Step 5: Solve for x
    x = 247,699,748,512.32/511,877.60
  6. Step 6: Final answer
    x = 483,904.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.